Least Common Multiple of 3196 and 3200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3196 and 3200 the smallest integer that is 2556800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3196 and 3200 is 2556800.

LCM(3196,3200) = 2556800

LCM of 3196 and 3200

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3196 and 3200

LCM of 3196 and 3200 is 2556800

Least common multiple can be found by multiplying the highest exponent prime factors of 3196 and 3200. First we will calculate the prime factors of 3196 and 3200.

Prime Factorization of 3196


2 3196
2 1598
17 799
47 47
1

Prime factors of 3196 are 2, 17,47. Prime factorization of 3196 in exponential form is:

3196 = 22×171×471

Prime Factorization of 3200


2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 3200 are 2,5. Prime factorization of 3200 in exponential form is:

3200 = 27×52

Now multiplying the highest exponent prime factors to calculate the LCM of 3196 and 3200.

LCM(3196,3200) = 27×52×171×471
LCM(3196,3200) = 2556800

Factors of 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200

Least Common Multiple of 3196 and 3200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3196 and 3200, than apply into the LCM equation.

GCF(3196,3200) = 4
LCM(3196,3200) = ( 3196 × 3200) / 4
LCM(3196,3200) = 10227200 / 4
LCM(3196,3200) = 2556800

Properties of LCM 3196 and 3200

(i) The LCM of 3200 and 3196 is associative

LCM of 3196 and 3200 = LCM of 3200 and 3196

Related Least Common Multiples of 3196

Related Least Common Multiples of 3200

Frequently Asked Questions on LCM of 3196 and 3200

1. What is the LCM of 3196 and 3200?

Answer: LCM of 3196 and 3200 is 2556800.

2. What are the Factors of 3196?

Answer: Factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196. There are 12 integers that are factors of 3196. The greatest factor of 3196 is 3196.

3. What are the Factors of 3200?

Answer: Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. There are 24 integers that are factors of 3200. The greatest factor of 3200 is 3200.

4. How to Find the LCM of 3196 and 3200?

Answer:

Least Common Multiple of 3196 and 3200 = 2556800

Step 1: Find the prime factorization of 3196

3196 = 2 x 2 x 17 x 47

Step 2: Find the prime factorization of 3200

3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2556800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 3196 and 3200 is 2556800.